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Number of nX4 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.
1

%I #4 Dec 14 2016 09:30:32

%S 4,384,23610,1280440,66239560,3300066400,160408991208,7651924962192,

%T 359787825135858,16723319831529660,770060247050797618,

%U 35183712290420295428,1596986555678135067900,72080322350712846684652

%N Number of nX4 0..2 arrays with no element equal to a strict majority of its horizontal and vertical neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards.

%C Column 4 of A279527.

%H R. H. Hardin, <a href="/A279525/b279525.txt">Table of n, a(n) for n = 1..113</a>

%e Some solutions for n=3

%e ..0..1..0..0. .0..0..0..1. .0..1..0..1. .0..0..1..1. .0..1..0..2

%e ..2..0..0..1. .2..2..1..2. .2..2..1..1. .2..2..1..0. .2..1..2..2

%e ..1..0..1..0. .1..2..0..1. .0..2..0..0. .1..0..0..2. .1..2..1..1

%Y Cf. A279527.

%K nonn

%O 1,1

%A _R. H. Hardin_, Dec 14 2016